Abstract
The accuracy of numerical results using standard finite element method (FEM) in acoustic problems will deteriorate with increasing frequency due to the “dispersion error”. Such dispersion error depends on the balance between the “stiffness” and “mass” of discretization equation systems. This paper reports an improved finite element method (FEM) for solving acoustic problems by redistributing the mass in the mass matrix to “tune” the balance, aiming to minimize the dispersion errors. This is done by shifting the integration point locations when computing the entries of the mass matrix, while ensuring the mass conservation. The new method is verified through the detailed numerical error analysis, and a strategy is also proposed for the best mass redistribution in terms of minimizing dispersion error. The relative dispersion error of present massredistributed finite element method (MRFEM) is found to be much smaller than the FEM solution, in both theoretical prediction and numerical examination. The present MRFEM works well by using the linear triangular elements that can be generated automatically, which enables automation in computation and saving computational cost in mesh generation. Numerical examples demonstrate the advantages of MRFEM, in comparison with the standard FEM using the same triangular meshes and quadrilateral meshes.
Original language  English 

Pages (fromto)  149170 
Number of pages  22 
Journal  Journal of Computational Physics 
Volume  323 
Early online date  27 Jul 2016 
DOIs  
Publication status  Published  15 Oct 2016 
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Quan Bing Eric Li
 SCEDT Engineering  Associate Professor (Research)
 Centre for Sustainable Engineering
Person: Academic